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NARA [144]
3 years ago
11

PLEASE HELP!! DUE!!!!

Mathematics
1 answer:
trapecia [35]3 years ago
6 0

Answer:

The equation is,

y =  -  \frac{4}{3}x  -  \frac{2}{3}

Step-by-step explanation:

When a line is parallel to the other line, they will have the same gradient :

12x + 9y = 3

9y =  - 12x + 3

y =  -  \frac{12}{9} x +  \frac{3}{9}

y =  -  \frac{4}{3} x +  \frac{1}{3}

We have already found the gradient. Next, we have to substitute the gradient and coordinates into the slope-form equation, y = mx + b :

y = mx + b

Let m = -4/3,

Let x = -5,

Let y = 6,

6 =   - \frac{ 4}{3} ( - 5) + b

6 =  \frac{20}{3}  + b

b = 6 -  \frac{20}{3}

b =  -  \frac{2}{3}

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taurus [48]
To solve with Elimination:

Write the equations under one another, like this:

2x - y = -1
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Ideally, we would like for one of the variables to be eliminated when we add vertically (straight down). But if we add them as they are this does not happen. We must manipulate one of the equations so that it will happen. Again, you can try to eliminate either x or y. I always look for a term that has a coefficient of 1 (or negative 1). So, let's use that y from the first equation again.

If the coefficient of the y in the other equation is POSITIVE 4, then I need the coefficient from the first equation to be its opposite, NEGATIVE 4. To do this, simply multiply the first equation by 4, this will create MAGIC!

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Be certain to Distribute across the entire first equation, so multiply all three terms by 4.

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Now add straight down (vertically). The y term will be eliminated.

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Divide both sides of the equation by 11.

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Almost there! Now, substitute the 2 in for x in either of the original equations. Either one will work. I'm gonna use the second equation.

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Divide both sides of the equation by 4.

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That's it! There it is again. Put it all together. If x = 2 and y = 5, then the solution is the ordered pair, (2,5).
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Step-by-step explanation:

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